138168 has 48 divisors (see below), whose sum is σ = 397800. Its totient is φ = 43200.

The previous prime is 138163. The next prime is 138179. The reversal of 138168 is 861831.

138168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1318 + ... + 1418.

2¹³⁸¹⁶⁸ is an apocalyptic number.

138168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198900).

138168 is an abundant number, since it is smaller than the sum of its proper divisors (259632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138168 is a wasteful number, since it uses less digits than its factorization.

138168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 138168 is about 371.7095640416. The cubic root of 138168 is about 51.6974541906.

Adding to 138168 its reverse (861831), we get a palindrome (999999).

It can be divided in two parts, 13816 and 8, that added together give a cube (13824 = 24³).

The spelling of 138168 in words is "one hundred thirty-eight thousand, one hundred sixty-eight".